zello

2 years ago

Nicole hiked up a mountain trail and camped overnight at the top. The next day she returned down the same trail. Her average rate traveling uphill was 2.6 kilometers per hour and her average rate downhill was 3.9 kilometers per hour. If she spent a total of 12 hours hiking, how long was the trail?

You know the trail is the same length going up as it is going down. Therefore, her total distance travelled is \(2d\).
\[ v = \frac{d}{t}\]
\[t_{\text{up}} = 12 - t_{\text{down}}\]
This should get you started.

You also know that time down the hill is \(12 - x\), which you can calculate now to 4.8. You can plug *that* into your downhill formula, and you should get the same answer for \(d\). That will help prove your answer is right.